Question

Tonya is looking at a graph that shows a line drawn between two points with a slope of -5. One of the points is smudged and she cannot read it. The points as far as sje can tell are (3,5) and (x,10). What must the value of x be. Explain

Answer 1

Answer:

5

Step-by-step explanation:

y=3x-5 if you graph it it will go through -5 and end up at 5,10

Answer 2

The value of $x$ would be as follows:

$x = 2$

Given that,

$m = -5$

As we know,

Slope $= \frac{y_{2} - y_{1} }{{x_{2} - x_{1}} }$

Here,

${y_{2} = 10,$

$y_{1} = 5$,

${{x_{2} = x$

and $x_{1}} = 3$

by putting these values,

$-5/1 = (10 - 5)/(x - 3)$

⇒ $-5(x - 3) = 10 - 5$

⇒ $-5x = -10$

⇒ $5x = 10$

⇒ $x = 10/5$

∵ $x = 2$

Thus, "$x = 2$" is the correct answer.

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